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Simplifying 3(5x + -2) + -4(3x + -5) = 7x + -2 Reorder the terms: 3(-2 + 5x) + -4(3x + -5) = 7x + -2 (-2 * 3 + 5x * 3) + -4(3x + -5) = 7x + -2 (-6 + 15x) + -4(3x + -5) = 7x + -2 Reorder the terms: -6 + 15x + -4(-5 + 3x) = 7x + -2 -6 + 15x + (-5 * -4 + 3x * -4) = 7x + -2 -6 + 15x + (20 + -12x) = 7x + -2 Reorder the terms: -6 + 20 + 15x + -12x = 7x + -2 Combine like terms: -6 + 20 = 14 14 + 15x + -12x = 7x + -2 Combine like terms: 15x + -12x = 3x 14 + 3x = 7x + -2 Reorder the terms: 14 + 3x = -2 + 7x Solving 14 + 3x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 3x + -7x = -2 + 7x + -7x Combine like terms: 3x + -7x = -4x 14 + -4x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -4x = -2 + 0 14 + -4x = -2 Add '-14' to each side of the equation. 14 + -14 + -4x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -2 + -14 -4x = -2 + -14 Combine like terms: -2 + -14 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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